11983922400 has 144 divisors (see below), whose sum is σ = 39053000448. Its totient is φ = 3192000000.

The previous prime is 11983922393. The next prime is 11983922429. The reversal of 11983922400 is 422938911.

It is a super-2 number, since 2×11983922400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2520025 + ... + 2524775.

It is an arithmetic number, because the mean of its divisors is an integer number (271201392).

Almost surely, 2^11983922400 is an apocalyptic number.

11983922400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11983922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19526500224).

11983922400 is an abundant number, since it is smaller than the sum of its proper divisors (27069078048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11983922400 is a wasteful number, since it uses less digits than its factorization.

11983922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 11983922400 in words is "eleven billion, nine hundred eighty-three million, nine hundred twenty-two thousand, four hundred".